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Finding the Fourth Proportional to 579.53, 868.76 and 214.05

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Solution

The fourth proportional to 579.53, 868.76 and 214.05 is: 320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.53 : 868.76 = 214.05 : x
  2. Step 2: Convert to fraction form
    579.53/868.76 = 214.05/x
  3. Step 3: Cross multiply
    579.53x = 868.76 × 214.05
  4. Step 4: Simplify right side
    579.53x = 185,957.01
  5. Step 5: Solve for x
    x = 185,957.01/579.53
  6. Step 6: Final answer
    x = 320.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.